221012211002100 has 288 divisors, whose sum is σ = 731945019187200. Its totient is φ = 50438900413440.

The previous prime is 221012211002081. The next prime is 221012211002101. The reversal of 221012211002100 is 1200112210122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221012211002100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221012211002101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14044105432 + ... + 14044121168.

Almost surely, 2^{221012211002100} is an apocalyptic number.

221012211002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221012211002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365972509593600).

221012211002100 is an abundant number, since it is smaller than the sum of its proper divisors (510932808185100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221012211002100 is a wasteful number, since it uses less digits than its factorization.

221012211002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25687 (or 25680 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221012211002100 its reverse (1200112210122), we get a palindrome (222212323212222).

The spelling of 221012211002100 in words is "two hundred twenty-one trillion, twelve billion, two hundred eleven million, two thousand, one hundred".